Question

Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.

Answer 1

1

Explanation:

Slope (m) of the line can be derived using the following formula below:

`m = (y2 - y1)/(x2 - x1)`

To solve this, we can pick any two points on the line, and use the coordinates of the points to solve for the slope (m) of the line.

To find the slope (m) of the line given, let's use the coordinates of the points where the line intercepts the y-axis and the x-axis.

Thus, when x = 0, y = 3. Let's make this the first pair of coordinates at the point where the line intercepts the y-axis.

At the point where the line intercepts the x-axis, when x = -3, y = 0.

We now have the following points => in the following format (x, y) as:

Point 1 => (0, 3). Let this be (x1, y1)

Point 2 => (-3, 0). Let this be (x2, y2)

==>Let's find slope (m):

`m = (y2 - y1)/(x2 - x1)`

`m = (0 - 3)/(-3 - 0)`

`m = (-3)/(-3)`

`m = 1`

Slope (m) = 1